On the heels of yet another story suggesting an impending split, Perry stepped out to Sunday night's American Music Awards in downtown Los Angeles, where she turned heads for arriving without Brand in what turned out to be a big night for the "Teenage Dream" star.

Perry showed up to sing her latest single -- an acoustic performance of the regretful love tune "The One That Got Away" -- and immediately after was presented with a special AMA crystal trophy for the rare distinction of having five No. 1 songs on the same album.

Adding fuel to the fire was Perry's acceptance speech, in which she didn't make mention of Brand.

Both were mentioned in a tabloid report last week that suggested their marriage is in trouble due to Brand's close friendship with British comedian Sadie Turner. However, a story on Gossip Cop followed up that claim, calling any possible friction "laughable."

Reps for both Perry and Brand didn't respond to requests seeking comment.

The couple married in October 2010 in a lavish ceremony in India. Not long after, the newlyweds faced numerous stories of marital trouble following a string of solo public appearances for both Perry and Brand. This past summer, Perry addressed the speculation on Twitter. "Just cause we don't flaunt our relationship doesn't mean there's something wrong w/it. Privacy is our luxury," she tweeted in July.

Not that they necessarily have time to flaunt anything other than their résumés. The two have often cited their hectic work schedules for keeping them apart.

Brand is currently wrapping up a five-show mini comedy tour. The last show is scheduled for tonight in Los Angeles.

Meanwhile, Perry is wrapping up her massive 122-date Teenage Dream tour, with final shows scheduled for tonight in Oakland, Calif., and tomorrow night in Los Angeles. She won't have much downtime after that either; Perry announced today on Twitter that she has been tapped for hosting duties on "Saturday Night Live" on Dec. 10, a rare invite for a musical artist.